Recently, it has been argued that a generic four dimensional Taub-NUT BH
should be interpreted as in terms of
three or four different types of thermodynamic hairs [1]}. They are defined as the Komar mass (\(M=m\) ),
the angular momentum (\(J_{n}=m\,n\) ), the gravitomagnetic charge (\(N=n\) ), the dual (magnetic)
mass \((\tilde{M}=n)\) . The authors also derived consistent thermodynamic first law and Bekenstein-Smarr
formula, Christodoulou-Ruffini mass formula and other thermodynamic properties. More appropriately,
they solved long standing various problems of Taub-NUT (both spherically symmetric and axisymmetric) geometry.
